Three-dimensional rotating flow induced by a shrinking sheet for suction

被引：39
作者：
Hayat, T. [1 ]
Abbas, Z. [1 ]
Javed, T. [1 ]
Sajid, M. [2 ]
机构：
[1] Quaid I Azam Univ 45320, Dept Math, Islamabad 44000, Pakistan
[2] PINSTECH, Theoret Plasme Phys Div, Islamabad 44000, Pakistan
来源：
CHAOS SOLITONS & FRACTALS | 2009年 / 39卷 / 04期
关键词：
HOMOTOPY ANALYSIS METHOD; CONVECTED MAXWELL FLUID; HEAT-TRANSFER; ANALYTIC SOLUTION; VISCOUS-FLOW; MHD FLOW; STRETCHING SURFACE; VISCOELASTIC FLUID; SERIES SOLUTION; WAVES;
D O I：
10.1016/j.chaos.2007.06.045
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Series solution of magnetohydrodynamic (MHD) and rotating flow over a porous shrinking sheet is obtained by a homotopy analysis method (HAM). The viscous fluid is electrically conducting in the presence of a uniform applied magnetic field and the induced magnetic field is neglected for small magnetic Reynolds number. Similarity solutions of coupled non-linear ordinary differential equations resulting from the momentum equation are obtained. Convergence of the obtained solutions is ensured by the proper choice of auxiliary parameter. Graphs are sketched and discussed for various emerging parameters on the velocity field. The variations of the wall shear stress f ''(0) and -g'(0) are also tabulated and analyzed. (C) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1615 / 1626
页数：12
相关论文
共 37 条
[1]   MHD boundary-layer flow of an upper-convected Maxwell fluid in a porous channel [J].
Abbas, Z. ;
Sajid, M. ;
Hayat, T. .
THEORETICAL AND COMPUTATIONAL FLUID DYNAMICS, 2006, 20 (04) :229-238
[2]   The application of homotopy analysis method to nonlinear equations arising in heat transfer [J].
Abbasbandy, S. .
PHYSICS LETTERS A, 2006, 360 (01) :109-113
[3]   Solitary wave solutions to the modified form of Camassa-Holm equation by means of the homotopy analysis method [J].
Abbasbandy, S. .
CHAOS SOLITONS & FRACTALS, 2009, 39 (01) :428-435
[4]  
ABBASBANDY S, NONLINEAR D IN PRESS
[5]   The flow of an elastico-viscous fluid past a stretching sheet with partial slip [J].
Ariel, P. D. ;
Hayat, T. ;
Asghar, S. .
ACTA MECHANICA, 2006, 187 (1-4) :29-35
[6]  
CANG J, CHAOS SOLIT IN PRESS
[7]   A note on flow and heat transfer of a viscoelastic fluid over a stretching sheet [J].
Cortell, R .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2006, 41 (01) :78-85
[8]   Flow and heat transfer of a fluid through a porous medium over a stretching surface with internal heat generation/absorption and suction/blowing [J].
Cortell, R .
FLUID DYNAMICS RESEARCH, 2005, 37 (04) :231-245
[9]   Effects of viscous dissipation and work done by deformation on the MHD flow and heat transfer of a viscoelastic fluid over a stretching sheet [J].
Cortell, Rafael .
PHYSICS LETTERS A, 2006, 357 (4-5) :298-305
[10]   Heat transfer analysis on the MHD flow of a second grade fluid in a channel with porous medium [J].
Hayat, T. ;
Abbas, Z. .
CHAOS SOLITONS & FRACTALS, 2008, 38 (02) :556-567
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